Increasing radial solutions for Neumann problems without growth restrictions

Details Increasing radial solutions for Neumann problems without growth restrictions Increasing radial solutions for Neumann problems without growth restrictions

2011-09-19

arxiv.org/abs/1109.4009v1

Mathematics

Analysis of PDEs

16 pages

Scientific paper

We study the existence of positive increasing radial solutions for superlinear Neumann problems in the ball. We do not impose any growth condition on the nonlinearity at infinity and our assumptions allow for interactions with the spectrum. In our approach we use both topological and variational arguments, and we overcome the lack of compactness by considering the cone of nonnegative, nondecreasing radial functions of H^1.

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